106383672 has 64 divisors (see below), whose sum is σ = 299961600. Its totient is φ = 34927200.

The previous prime is 106383647. The next prime is 106383721. The reversal of 106383672 is 276383601.

It is a happy number.

106383672 is a `hidden beast` number, since 10 + 638 + 3 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×106383672² = 22634971336407168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10797 + ... + 18147.

It is an arithmetic number, because the mean of its divisors is an integer number (4686900).

Almost surely, 2^106383672 is an apocalyptic number.

106383672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106383672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149980800).

106383672 is an abundant number, since it is smaller than the sum of its proper divisors (193577928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106383672 is a wasteful number, since it uses less digits than its factorization.

106383672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7433 (or 7423 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 106383672 is about 10314.2460703631. The cubic root of 106383672 is about 473.8326600451.

The spelling of 106383672 in words is "one hundred six million, three hundred eighty-three thousand, six hundred seventy-two".